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Finding the Third Proportional to 457,546 and 694,095

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Solution

The third proportional to 457,546 and 694,095 is: 1,052,938.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,546 : 694,095 = 694,095 : x
  2. Step 2: Convert to fraction form
    457,546/694,095 = 694,095/x
  3. Step 3: Cross multiply
    457,546x = 694,095 × 694,095
  4. Step 4: Simplify right side
    457,546x = 481,767,869,025
  5. Step 5: Solve for x
    x = 481,767,869,025/457,546
  6. Step 6: Final answer
    x = 1,052,938.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.